A population of northern leopard frogs (Rana pipiens) living in a closed system of an isolated wetland has a stable population at equilibrium of 4,000 individuals in 2010 . However, an outbreak of Ranavirus causes a large mortality event with only 100 individual frogs urviving by 2013. a. Using a continuous exponential model of population growth, what was the intrinsic growth rate of the northern leopard frogs during the year when Ranavirus arrived to the population? b. What was the carrying capacity of the environment before the outbreak of Ranavirus? c. In the absence of any diseases, the intrinsic growth rate of northern leopard is estimated to be about r=0.12. Answer the following questions using a logistic model of population growth. i. Assuming that the Ranavirus is completely absent in 2013 within the surviving 100 individuals (and is not present or dormant within the environment), what is the population rate of change in 2013 ? ii. What do you estimate will be the population size in 2020 ?.